# Broken baby Skyrmions

@article{Jykk2011BrokenBS, title={Broken baby Skyrmions}, author={Juha J{\"a}ykk{\"a} and Martin Speight and Paul Sutcliffe}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2011}, volume={468}, pages={1085 - 1104} }

The baby Skyrme model is a (2+1)-dimensional analogue of the Skyrme model, in which baryons are described by topological solitons. We introduce a version of the baby Skyrme model in which the global O(3) symmetry is broken to the dihedral group DN. It is found that the single soliton in this theory is composed of N partons that are topologically confined. The case N=3 is studied in some detail and multi-soliton solutions are computed and related to polyiamonds, which are plane figures composed…

## Figures and Tables from this paper

## 24 Citations

Knots and planar Skyrmions

- Physics
- 2015

In this thesis the research presented relates to topological solitons in (2+1) and (3+1)-dimensional Skyrme theories. Solutions in these theories have topologically invariant quantities which results…

Broken planar Skyrmions — statics and dynamics

- Physics
- 2014

A bstractThe broken planar Skyrme model is a theory that breaks global O (3) symmetry to the dihedral group DN . It has been shown that the single soliton solution is formed of N constituent parts,…

The gauged BPS baby Skyrme model

- Mathematics
- 2012

The baby Skyrme model is a well-known nonlinear field theory supporting topological solitons in two space dimensions. In the limit where the term quadratic in derivatives (the "sigma model term")…

Extended supersymmetry and BPS solutions in baby Skyrme models

- Physics
- 2013

A bstractWe continue the investigation of supersymmetric extensions of baby Skyrme models in d = 2 + 1 dimensions. In a first step, we show that the CP(1) form of the baby Skyrme model allows for the…

Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential

- Mathematics
- 2017

A bstractWe construct new solutions of the Faddeev-Skyrme model with a symmetry breaking potential admitting S1 vacuum. It includes, as a limiting case, the usual SO(3) symmetry breaking mass term,…

Aloof baby Skyrmions

- Physics
- 2015

We show that a suitable choice for the potential term in the two-dimensional baby Skyrme model yields solitons that have a short-range repulsion and a long-range attraction. The solitons are…

“Half a proton” in the Bogomol’nyi-Prasad-Sommerfield Skyrme model

- Physics
- 2016

The BPS Skyrme model is a model containing an SU(2)-valued scalar field, in which a Bogomol’nyi-type inequality can be satisfied by soliton solutions (skyrmions). In this model, the energy density of…

Exactly solvable gravitating perfect fluid solitons in (2 + 1) dimensions

- PhysicsJournal of High Energy Physics
- 2018

A bstractThe Bogomolnyi-Prasad-Sommerfield (BPS) baby Skyrme model coupled to gravity is considered. We show that in an asymptotically flat space-time the model still possesses the BPS property,…

Topological phase transitions in the gauged BPS baby Skyrme model

- Physics
- 2015

A bstractWe demonstrate that the gauged BPS baby Skyrme model with a double vacuum potential allows for phase transitions from a non-solitonic to a solitonic phase, where the latter corresponds to a…

Magnetothermodynamics of BPS baby skyrmions

- Physics
- 2014

A bstractThe magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved…

## References

SHOWING 1-10 OF 40 REFERENCES

Easy plane baby Skyrmions

- Physics
- 2010

The baby Skyrme model is studied with a novel choice of potential, V = 1/2φ 2 3 . This "easy plane" potential vanishes at the equator of the target two-sphere. Hence, in contrast to previously…

The Baby Skyrme Models and Their Multi-Skyrmions

- Physics
- 1999

We analyse the structure of minimal-energy solutions of the baby Skyrme model for any topological charge n; the baby multi-skyrmions. Unlike in the (3+1)D nuclear Skyrme model, a potential term must…

Baby Skyrmion chains

- Physics
- 2010

The Baby Skyrmion model is a two-dimensional analogue of the full three-dimensional Skyrme model. It is not just useful for guiding investigations in the Skyrme model, it also has applications in…

Soliton scatterings in some relativistic models in (2+1) dimensions

- Physics
- 1990

The authors consider the O(3) sigma -model, modified by the addition of both a potential term and a Skyrme-like term. The instanton solutions in two Euclidean dimensions are viewed as static…

Classical Skyrmions—static solutions and dynamics

- Physics
- 2012

Atomic nuclei can be modelled by Skyrmions with quantised spin and isospin. Skyrmions with a realistic value of the pion mass parameter should be quite compact structures, but few examples beyond…

Low energy hadron physics in holographic QCD

- Physics
- 2005

We present a holographic dual of four-dimensional, large N_c QCD with massless flavors. This model is constructed by placing N_f probe D8-branes into a D4 background, where supersymmetry is…

Planar Skyrmions at high and low density

- Physics
- 2004

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density…

Real-space observation of a two-dimensional skyrmion crystal

- PhysicsNature
- 2010

Real-space imaging of a two-dimensional skyrmion lattice in a thin film of Fe0.5Co 0.5Si using Lorentz transmission electron microscopy reveals a controlled nanometre-scale spin topology, which may be useful in observing unconventional magneto-transport effects.

Skyrmions with massive pions

- Physics
- 2006

In the Skyrme model with massless pions, the minimal energy multi-Skyrmions are shell-like, with the baryon density localized on the edges of a polyhedron that is approximately spherical and…

Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies.

- PhysicsPhysical review. B, Condensed matter
- 1993

It is found that the two-dimensional electron gas in a high magnetic field at filling factor ν=1 for an arbitrary ratio of the Zeeman energy gμ B B to the typical interaction energy always has a gap, even when the one-particle gap vanishes.